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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.13312 |
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| _version_ | 1866909653746581504 |
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| author | Burstall, F. E. Hoffmann, T. Pedit, F. Sageman-Furnas, A. O. |
| author_facet | Burstall, F. E. Hoffmann, T. Pedit, F. Sageman-Furnas, A. O. |
| contents | We give a modern account of the classical theory of Bianchi \cite{Bia03} (see also \cite{KamPedPin98}) relating isothermic surfaces to Bonnet pairs. The main novelty is to identify the derivatives of the Bonnet pair with a component of the retraction form of the isothermic surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13312 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bonnet pairs, isothermic surfaces and the retraction form Burstall, F. E. Hoffmann, T. Pedit, F. Sageman-Furnas, A. O. Differential Geometry 53A05 (Primary) We give a modern account of the classical theory of Bianchi \cite{Bia03} (see also \cite{KamPedPin98}) relating isothermic surfaces to Bonnet pairs. The main novelty is to identify the derivatives of the Bonnet pair with a component of the retraction form of the isothermic surface. |
| title | Bonnet pairs, isothermic surfaces and the retraction form |
| topic | Differential Geometry 53A05 (Primary) |
| url | https://arxiv.org/abs/2506.13312 |